Atkin-Lehner |
2+ 3+ 5- 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
126270c |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51203328 |
Modular degree for the optimal curve |
Δ |
5.857297522515E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -5 -6 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-240349344,-1386075059200] |
[a1,a2,a3,a4,a6] |
j |
78011969811396189657602067/2975815435916776806400 |
j-invariant |
L |
0.15373428030432 |
L(r)(E,1)/r! |
Ω |
0.038433303628875 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126270x1 |
Quadratic twists by: -3 |